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Finding the Fourth Proportional to 966.90, 1,447.92 and 830.82

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Solution

The fourth proportional to 966.90, 1,447.92 and 830.82 is: 1,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.90 : 1,447.92 = 830.82 : x
  2. Step 2: Convert to fraction form
    966.90/1,447.92 = 830.82/x
  3. Step 3: Cross multiply
    966.90x = 1,447.92 × 830.82
  4. Step 4: Simplify right side
    966.90x = 1,202,960.89
  5. Step 5: Solve for x
    x = 1,202,960.89/966.90
  6. Step 6: Final answer
    x = 1,244.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.